Inquisitive logic : consequence and inference in the realm of questions

This open access book makes a case for extending logic beyond its traditional boundaries, to encompass not only statements but also also questions. The motivations for this extension are examined in detail. It is shown that important notions, including logical answerhood and dependency, emerge as fa...

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Hlavní autor:	Ciardelli, Ivano
Médium:	E-kniha Kniha
Jazyk:	angličtina
Vydáno:	Cham Springer 2022 Springer Nature Springer International Publishing Springer International Publishing AG European Research Council
Vydání:	1
Edice:	Trends in Logic
Témata:	connection inquisitive Connections with dependence logic Connections with intuitionistic logic Dependence Logic how classical logic can be made inquisitive Information Semantics Information Types Inquisitive Logic intuitionistic Intuitionistic Logic Logic Logic of Dependency Logic of Questions Mathematical foundations Mathematical logic Mathematics Mathematics and Science Nonfiction PHILOSOPHY Philosophy and Religion Philosophy: logic Proofs-as-Programs Questions in first-order logic Questions in modal logic Questions in propositional logic reasoning with questions role of questions in logic Sociology Topics in philosophy
ISBN:	303109705X, 9783031097058, 9783031097065, 3031097068
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Shrnutí:	This open access book makes a case for extending logic beyond its traditional boundaries, to encompass not only statements but also also questions. The motivations for this extension are examined in detail. It is shown that important notions, including logical answerhood and dependency, emerge as facets of the fundamental notion of entailment once logic is extended to questions, and can therefore be treated with the logician’s toolkit, including model-theoretic constructions and proof systems. After motivating the enterprise, the book describes how classical propositional and predicate logic can be made inquisitive—i.e., extended conservatively with questions—and what the resulting logics look like in terms of meta-theoretic properties and proof systems. Finally, the book discusses the tight connections between inquisitive logic and dependence logic.
Bibliografie:	Includes bibliographical references and index Electronic reproduction. Dordrecht: Springer, 2023. Requires the Libby app or a modern web browser.
ISBN:	303109705X 9783031097058 9783031097065 3031097068
DOI:	10.1007/978-3-031-09706-5